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Finding the Fourth Proportional to 30,947.56, 42,707.83 and 16,800.40

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Solution

The fourth proportional to 30,947.56, 42,707.83 and 16,800.40 is: 23,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.56 : 42,707.83 = 16,800.40 : x
  2. Step 2: Convert to fraction form
    30,947.56/42,707.83 = 16,800.40/x
  3. Step 3: Cross multiply
    30,947.56x = 42,707.83 × 16,800.40
  4. Step 4: Simplify right side
    30,947.56x = 717,508,627.13
  5. Step 5: Solve for x
    x = 717,508,627.13/30,947.56
  6. Step 6: Final answer
    x = 23,184.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.